What is laplacetransform 10e^{-0.2t} ?

The answer to laplacetransform 10e^{-0.2t} is (10)/(s+0.2)

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laplacetransform 10e^{-0.2t}

laplace transform

10 e^{- 0.2 t}

\frac{10}{s + 0.2}

Solution steps

L {10 e^{- 0.2 t}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 10 L {e^{- 0.2 t}}

L {e^{- 0.2 t}} : \frac{1}{s + 0.2}

= 10 \cdot \frac{1}{s + 0.2}

Refine

10 \frac{1}{s + 0.2} : \frac{10}{s + 0.2}

= \frac{10}{s + 0.2}

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What is laplacetransform 10e^{-0.2t} ?
The answer to laplacetransform 10e^{-0.2t} is (10)/(s+0.2)